Answer:
1. y = 4x - 27
2. y = -4x - 15
Step-by-step explanation:
If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:
y - 5 = 4(x - 8)
We can distribute:
y - 5 = 4x - 32
y = 4x - 27
We are not given the slope-intercept form, so we must divide both sides by two to get it:
y = 1/4 x + 8
A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:
y - 5 = -4(x + 5)
We can distribute:
y - 5 = -4x - 20
y = -4x - 15
What is the length of leg s in the right triangle shown?
Answer:
5
Step-by-step explanation:
Using pythagoras theorem
Lavaughn owns a small business selling ice-cream. He knows that in the last week 56 customers paid cash, 14 customers used a debit card, and 4 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Using it's concept, it is found that there is a 0.054 probability that the next customer will pay with a credit card.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 56 + 14 + 4 = 74 customers, 4 used credit cards, hence:
p = 4/74 = 0.054.
There is a 0.054 probability that the next customer will pay with a credit card.
More can be learned about probabilities at https://brainly.com/question/14398287
Which statements are necessary to prove the two triangles are congruent by SSS? (ASAP HELP PLS!!!)
Answer:
C) [tex]\overline {AD}[/tex] ≅ [tex]\overline {AC}[/tex], [tex]\overline {BD}[/tex] ≅ [tex]\overline {CD}[/tex], [tex]\overline {AD}[/tex] ≅ [tex]\overline {AD}[/tex]
Step-by-step explanation:
From the given diagram, we have;
Segment [tex]\overline {AB}[/tex] in triangle ΔABD is congruent to segment [tex]\overline {AC}[/tex] in triangle ΔACD
Segment [tex]\overline {AD}[/tex] is congruent to segment [tex]\overline {AD}[/tex] by reflexive property
For ΔABD to be congruent to ΔACD, by the Side-Side-Side, SSS, congruency postulate, all the sides of ΔABD should be congruent to the corresponding side of ΔACD, the required added statement is therefore;
Segment [tex]\overline {BD}[/tex] is congruent to segment [tex]\overline {CD}[/tex]
The correct option is therefore option C;
[tex]\overline {AD}[/tex] ≅ [tex]\overline {AD}[/tex], [tex]\overline {BD}[/tex] ≅ [tex]\overline {CD}[/tex], [tex]\overline {AD}[/tex] ≅ [tex]\overline {AC}[/tex]
Answer:
c
Step-by-step explanation:
estimate number of jelly beans in 1 litre jar...please help
Answer:
1000
Step-by-step explanation:
it is much that's why period
Shondra borrowed $200 for the books she needed for her second semester of college. The finance charge on the loan was $12, and the term of the loan was 21 days. What was the APR of Shondra's loan?
Answer:
the Annual percentage rate of shondra loan is 104.28%
Step-by-step explanation:
Given that
The borrowed amount is $200
The finance charge is $12
And, the term of the loan is 21 days
We need to find out the APR of the loan
so,
= (($12 ÷ $200) × 365) ÷ 21 × 100
= 104.28%
hence, the Annual percentage rate of shondra loan is 104.28%
Un comerciante tiene dos clases de aceite, la primera de 6 euros el litro y la segunda de 7.2 euros el litro.¿Cuantos litros de cada clase hay que poner para obtener 60 litros de mezcla a 7 euros el litro?
AnswerNo nin
Step-by-step explanation:
dsfsfsdffsfsfsfs is bad
What is the volume of the figure?
Answer:
yes
Step-by-step explanation:
maybe
Find the area of the shape shown below.
Answer:
12.5
Step-by-step explanation:
So this is basically a rectangle. You make the 2 triangles a square.
2.5x2.5=6.25
6.25x2=12.5
Find the volume of a right circular cylinder with a diameter of 14 inches and a height of 10 inches, answer in terms of pi?
Answer:
490π
Step-by-step explanation:
Given data
Diameter= 14 inches
Radius= 7 inches
Height = 10 inches
The expression for the volume of a cylinder is
V= πr^h
V= π*7^2*10
V= 490π
Hence the volume is 490π
A right rectangular prism is sliced parallel to the base. What is the area of the resulting two-dimensional cross-section?
Answer:
The area of the resulting two-dimensional cross-section is 12 cm².
Step-by-step explanation:
The area of the cross-section of the right rectangular prism, parallel to the base, is given by the area of a rectangle:
[tex] A_{cs} = A_{r} = a*b [/tex]
Where:
[tex] A_{cs}[/tex]: is the area of the cross-section
[tex] A_{r} [/tex]: is the area of a rectangle
a: is the length of one side of the rectangle = 4 cm
b: is the length of the other side of the rectangle = 3 cm
Hence, the area of the cross-section is:
[tex] A_{cs} = a*b = 4 cm*3 cm = 12 cm^{2} [/tex]
Therefore, the area of the resulting two-dimensional cross-section is 12 cm².
I hope it helps you!
Helpppp plzzz it’s so hard
Which expression is equivalent?
Answer:
The first one 3^7 *1/3-4
Step-by-step explanation:
The answer i’m on a timer in a exam
Answer:
67
Step-by-step explanation:
The interior angles of triangles always equal 180 degrees. That means that angle R is equal to 67.
Therefore, angle U is equal to 67, as corresponding angles are the same.
Hope that this helps!
Angle 3 and angle 4 are supplementary. Angle 3 equals 5x + 15 and angle 4 equals 10x. What does x equal
Answer:
X = 11
Step-by-step explanation:
since the angles are supplementary that means their sum is 180
[tex]5x + 15 + 10x = 180 \\ 15x + 15 = 180 \\ 15x = 180 - 15 \\ 15x = 165 \\ x = 165 \div 15 \\ x = 11[/tex]
3 2. A square pyramid has volume 147cm . The height of the pyramid is 9 cm. a.) What is the length of each side of the square base? b.) What is the slant height? c.) What is the surface area? PLEASE REAL ANSWERES I HAVE POSTED 5 TIMES AND NOONE WILL ANSWERE!!!
What number will be multiplied to give -100 and be added to give 8
Answer:
-12.5
Step-by-step explanation:
Hope it helps u
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I need help with this..there’s an image attached!
what 3 numbers multiplied equal 36
Answer: 3 times 4 times 3
Step-by-step explanation:
Answer:
6 x 3 x 2 = 36
Step-by-step explanation:
Choose the graph that represents the equation y = –|x – 1|.
Use the square identities to simplify 2 cos^2 x cos^2 x
a.(3-4cos(2x)-cos(4x))/(4)
b.(3+4cos(2x)+cos(4x))/(4)
c.(3+4cos(2x)-cos(4x))/(4)
d.(3-4cos(2x)+cos(4x))/(4)
Answer:
D
Step-by-step explanation:
20 POINTS
A swimming pool is 8 meters long, 8 meters wide, and 8 meters deep. The water
resistant paint needed for the pool costs $6 per square meter.
Part A: What is the surface area of the pool that needs to be painted? (Remember there is not a
top to the pool)
Part B: Based on the surface area you calculated, what is the total cost of the paint needed to paint
purchased?
Answer:
A. 320 sq. ft.
B. $1920
Step-by-step explanation:
You need to find 5 sides. They are all 8*8. 64*5 is 320. Now, you multiply that by 6 to get $1920
87.5 - 23.4 *
O 64.1
O 110.9
054.1
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer....
1st Option : 64.1Hope it helps!
Brainliest pls!
Follow me! ;)
what is the probability of spinning the pointer on the spinner below and getting a 2 or 4
i need help with this please
The radius of a circle is 6 centimeters. What is the circle's circumference?
Answer:
37.7 cm
Step-by-step explanation:
C=2πr=2·π·6≈37.69911
Answer:
37.68 cm.
Step-by-step explanation:
The formula for circumference of a circle is: πd (diameter)
The radius of this circle is 6 centimeters.
To find the diameter, multiply the radius by 2.
6 × 2 = 12.
12 is the diameter.
Lastly, multiply the diameter by pi.
**3.14 IS A SUBSTITUTE FOR PI**
3.14 = 37.68.
Therefore, the circumference of this circle is 37.68 cm.
Lynne was making cookies and she
wanted to double the recipe. If the
recipe requires 2 3/4 cups of flour, how
much flour will Lynne need?
Answer:
11/2is the answer hope it helps
150 adults complete a survey.
80 are women.
Write the ratio
men women
in its simplest form.
Answer:
The number of men to number of women be 7 : 8 .
Which list shows the students in order from the greatest amount of time to the least amount of tme used?
Answer:
more information is needed
Step-by-step explanation:
inadequate info :(
A car travels at an average speed of 68 miles per hour. How long does it take to travel 357 miles?
What is the value of 3/4- (-3) +(-3/4)
Answer: 3
Step-by-step explanation:
Answer:
What is the value of A?
–4
–3
3 <<< CORRECT
4
Step-by-step explanation:
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